A stunt cyclist rides on the interior of a cylinder 12 m in radius. The coefficient of static friction between the tires and the wall is 0.68. Find the value of the minimum speed for the cyclist to perform the stunt.
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- A car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.A car enters a 368-m radius horizontal curve on a rainy day when the coefficient of static friction between its tires and the road is 0.52. What is the maximum speed at which the car can travel around this curve without sliding in m/s?Suppose a car rounds a curve at a constant speed of 13 m/s. The curve is a circular arc with a radius of 100 m. Ignore air friction initially. (a) What is the magnitude and direction of the horizontal force that the road must exert on the car to keep it moving along the curve? Express this magnitude as a fraction of the car’s weight. The magnitude of the horizontal force is _______∣F→g∣|. The direction is (Choose one) Horizontal and parallel to the direction the car turns to Vertical and perpendicular to the direction the car turns to vertical and parallel to the direction the car turns to horizontal and perpendicular to the direction the car turns to (b) Now suppose that air friction is not zero, but is about half the result that you calculated for part (a). Must the force that the road exerts on the car increase in magnitude compared to the no-drag case? (Choose )Yes or No Must it change its direction? (Choose) Yes Or No
- Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?
- A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?The objective of curling, an Olympic discipline, is to throw stones at houses. The stone is a 18 kg block of granite that slides on the carefully prepared ice with a very low coefficient of kinetic friction, μk = 0.0178. With a curling broom the players can increase the friction to get as close as possible to the house, the target pattern embedded in the ice. Frequently an oncoming stone will bump a stone from a previous throw by the competing team. A stone reaches the house with a velocity of 1.2 m/s after traveling the 38 m length of the curling sheet. How fast the stone was going when it was released? The stone did not hit any other stones.You are driving through the Ouachita Mountains at 12m/s. You see a maple-leaf oak (Quercus acerifolia) crossing the road and hit the brakes, 20m away. The coefficient of kinetic friction between your tires and the road is μ_k = 0.7. Will you strike this endangered broadleaf? Justify your answer with a calculation.Your final answer should be the distance you will travel before coming to a stop.
- a rock climber on a rock slab. The coefficient of kinetic friction between the climber's rock climbing shoes and the rock is 0.70. If the climber slide down the rock starting from rest, the amount of time it will take the climber to slide to the edge of the rock slab is? distance=16.4 m and theta is 68 degrees.A 423 N crate rests on a ramp; the maximum angle just before it slips is 26.4° with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?What is the cofficient of static friction between the pavement and the car tires?